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A010150
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Continued fraction for sqrt(71).
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3
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8, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,20000
G. Xiao, Contfrac
Index entries for continued fractions for constants
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FORMULA
| a(n)=(1/224)*{-359*(n mod 8)+33*[(n+1) mod 8]+5*[(n+2) mod 8]+201*[(n+3) mod 8]-135*[(n+4) mod 8]+61*[(n+5) mod 8]+33*[(n+6) mod 8]+425*[(n+7) mod 8]}-8*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jul 24 2009]
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EXAMPLE
| 8.426149773176358630634139906... = 8 + 1/(2 + 1/(2 + 1/(1 + 1/(7 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
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MATHEMATICA
| ContinuedFraction[Sqrt[71], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 08 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 20000); x=contfrac(sqrt(71)); for (n=0, 20000, write("b010150.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
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CROSSREFS
| Cf. A010523 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
Sequence in context: A073442 A177428 A130617 * A176153 A136711 A037920
Adjacent sequences: A010147 A010148 A010149 * A010151 A010152 A010153
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KEYWORD
| nonn,cofr
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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